Geometry and Topology of Artin Groups

Artin群的几何和拓扑

• 批准号: 426561549
• 负责人: Professor Dr. Linus Kramer
• 金额: --
• 依托单位: Mathematisches Institut
• 依托单位国家: 德国
• 项目类别: Research Grants
• 资助国家: 德国
• 项目状态: 未结题
• 来源: https://gepris.dfg.de/gepris/projekt/426561549?language=en
• 关键词: Geometry; Topology; Artin; Groups

The aim of the project is to study abstract homomorphisms of topological groups (Cech complete groups) to discrete groups, like right-angled Artin or Coxeter groups, and their respective automorphism groups. We want to show that such a homomorphism is either continuous, or has a 'small' image.

该项目的目的是研究拓扑群（切赫完全群）到离散群的抽象同态，如直角Artin群或Coxeter群，以及它们各自的自同构群。我们想证明这样的同态要么是连续的，要么有一个“小”像。